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Finding the Third Proportional to 449,595 and 962,964

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Solution

The third proportional to 449,595 and 962,964 is: 2,062,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,595 : 962,964 = 962,964 : x
  2. Step 2: Convert to fraction form
    449,595/962,964 = 962,964/x
  3. Step 3: Cross multiply
    449,595x = 962,964 × 962,964
  4. Step 4: Simplify right side
    449,595x = 927,299,665,296
  5. Step 5: Solve for x
    x = 927,299,665,296/449,595
  6. Step 6: Final answer
    x = 2,062,522.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.